An SIRS Epidemic Model with Pulse Vaccination, Birth Pulse and Logistic Death Rate

被引：0
|
作者：
GAO JIAN-ZHONG [1 ]
ZHANG TAI-LEI [1 ]
机构：
[1] School of Science, Chang’an University
来源：
Communications in Mathematical Research | 2019年 / 35卷 / 03期
基金：
中央高校基本科研业务费专项资金资助;
关键词：
Logistic death rate; birth pulse; threshold value; global stability; permanence;
D O I：
10.13447/j.1674-5647.2019.03.06
中图分类号：
O175 [微分方程、积分方程]; R181 [流行病学基本理论与方法];
学科分类号：
070104 ; 100401 ;
摘要：
In this paper, we propose an SIRS epidemic model with pulse vaccination, birth pulse and Logistic death rate. By using the stroboscopic map of a discrete dynamical system, the disease-free periodic solution(DFPS for short) of the model under pulse vaccination and birth pulse is obtained. Based on the Floquet theory and comparison theorem of impulsive differential equations, the global asymptotic stability of the DFPS is given, and sufficient conditions for the permanence of the model are obtained. In addition, numerical simulations are done to confirm our theoretical results.
引用
收藏
页码：247 / 263
页数：17
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